Home / 1,035.06-1,428.36-569.31

Finding the Fourth Proportional to 1,035.06, 1,428.36 and 569.31

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Solution

The fourth proportional to 1,035.06, 1,428.36 and 569.31 is: 785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.06 : 1,428.36 = 569.31 : x
  2. Step 2: Convert to fraction form
    1,035.06/1,428.36 = 569.31/x
  3. Step 3: Cross multiply
    1,035.06x = 1,428.36 × 569.31
  4. Step 4: Simplify right side
    1,035.06x = 813,179.63
  5. Step 5: Solve for x
    x = 813,179.63/1,035.06
  6. Step 6: Final answer
    x = 785.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.